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2014 Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems
Haiyan Lv, Yuming Shi, Guojing Ren
Abstr. Appl. Anal. 2014: 1-19 (2014). DOI: 10.1155/2014/437506

Abstract

This paper is concerned with the eigenvalues of perturbed higher-order discrete vector boundary value problems. A suitable admissible function space is first introduced, a new variational formula of eigenvalues is then established under certain nonsingularity conditions, and error estimates of eigenvalues of problems with small perturbation are finally given by using the variational formula. As a direct consequence, continuous dependence of eigenvalues on boundary value problems is obtained under the nonsingularity conditions. In addition, two special perturbed cases are discussed.

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Haiyan Lv. Yuming Shi. Guojing Ren. "Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems." Abstr. Appl. Anal. 2014 1 - 19, 2014. https://doi.org/10.1155/2014/437506

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022393
MathSciNet: MR3173276
Digital Object Identifier: 10.1155/2014/437506

Rights: Copyright © 2014 Hindawi

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